Read the following statements carefully and the two conclusions numbered I and II that follow them. Assume the statements are true even if they contradict everyday facts, and then decide which conclusion(s) logically follow.

Statements: F > G = H ≤ J; K < H = L
Conclusions:
I. F > K
II. J ≥ L

The correct answer is: If both conclusion I and II are true.

Let's analyze the given statements step-by-step to check the validity of each conclusion.

Given Statements:
1. $F>G=H\le J$
2. $K<H=L$

Evaluating Conclusion I: $F>K$

From statement 1, we know that $F>H$ (since $F>G$ and $G=H$).

From statement 2, we know that $K<H$, which is equivalent to $H>K$.

Combining these relations:

$F>H>K$

Therefore, $F>K$ is definitely true. Hence, Conclusion I logically follows.

Evaluating Conclusion II: $J\ge L$

From statement 1, we have $H\le J$, which is equivalent to $J\ge H$.

From statement 2, we know that $H=L$.

Substituting $L$ for $H$ in the inequality $J\ge H$, we get:

$J\ge L$

Therefore, $J\ge L$ is definitely true. Hence, Conclusion II logically follows.

Since both Conclusion I and Conclusion II are true, the correct choice is "If both conclusion I and II are true".